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Finding the Third Proportional to 316,861 and 704,566

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Solution

The third proportional to 316,861 and 704,566 is: 1,566,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,861 : 704,566 = 704,566 : x
  2. Step 2: Convert to fraction form
    316,861/704,566 = 704,566/x
  3. Step 3: Cross multiply
    316,861x = 704,566 × 704,566
  4. Step 4: Simplify right side
    316,861x = 496,413,248,356
  5. Step 5: Solve for x
    x = 496,413,248,356/316,861
  6. Step 6: Final answer
    x = 1,566,659.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.